Solving Linear Equations and Verification

The video tutorial explains how to solve an equation by isolating the variable, simplifying both sides, combining like terms, and verifying the solution. The process involves distributing terms, combining constants and variables, and using arithmetic operations to isolate the variable. The solution is verified by substituting the value back into the original equation to ensure it holds true.

What is the first step in solving an equation to find the value of x?

• Isolate the variable on one side

• Divide both sides by a constant

• Multiply both sides by a constant

• Add a constant to both sides

When distributing negative three, what is the result of negative three times negative four?

• Positive 12

• Negative 12

• Negative 4

• Positive 4

After distributing and combining like terms, what is the expression on the left side of the equation?

• 3x - 12

• 2x + 14

• Negative 3x + 12

• Negative 2x + 14

What operation is used to isolate the variable term of negative 2x?

• Addition

• Subtraction

• Multiplication

• Division

What is the value of x after solving the equation?

• Positive 26

• Negative 13

• Positive 13

• Negative 26

What is the final step in solving the equation?

• Subtracting a constant from both sides

• Multiplying both sides by a constant

• Dividing both sides by negative two

• Adding a constant to both sides

What is the purpose of substituting the solution back into the original equation?

• To find a new solution

• To verify the solution is correct

• To simplify the equation further

• To change the equation

What is the result of the left side of the equation after substitution?

• Negative 12

• Positive 12

• Negative 18

• Positive 18

What is the result of the right side of the equation after substitution?

• Negative 12

• Negative 18

• Positive 18

• Positive 12

What does it mean when both sides of the equation are equal after substitution?

• The equation needs more simplification

• The solution is verified

• The equation is unsolvable

• The solution is incorrect